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Simplifying 2x + -3(5x + -2) = 5(-2x + -3) + -3 Reorder the terms: 2x + -3(-2 + 5x) = 5(-2x + -3) + -3 2x + (-2 * -3 + 5x * -3) = 5(-2x + -3) + -3 2x + (6 + -15x) = 5(-2x + -3) + -3 Reorder the terms: 6 + 2x + -15x = 5(-2x + -3) + -3 Combine like terms: 2x + -15x = -13x 6 + -13x = 5(-2x + -3) + -3 Reorder the terms: 6 + -13x = 5(-3 + -2x) + -3 6 + -13x = (-3 * 5 + -2x * 5) + -3 6 + -13x = (-15 + -10x) + -3 Reorder the terms: 6 + -13x = -15 + -3 + -10x Combine like terms: -15 + -3 = -18 6 + -13x = -18 + -10x Solving 6 + -13x = -18 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + -13x + 10x = -18 + -10x + 10x Combine like terms: -13x + 10x = -3x 6 + -3x = -18 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + -3x = -18 + 0 6 + -3x = -18 Add '-6' to each side of the equation. 6 + -6 + -3x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -18 + -6 -3x = -18 + -6 Combine like terms: -18 + -6 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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